Atkin-Lehner |
5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108445f |
Isogeny class |
Conductor |
108445 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
108445 = 5 · 232 · 41 |
Discriminant |
Eigenvalues |
0 -1 5- 3 -6 -3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
753664/205 |
j-invariant |
L |
3.1631642503672 |
L(r)(E,1)/r! |
Ω |
2.4618583372446 |
Real period |
R |
1.2848685117374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108445a1 |
Quadratic twists by: -23 |